Super-Hubble de Sitter fluctuations and the dynamical RG
By C. Burgess, Louis Leblond, R. Holman, Sarah Shandera. 2009
203 citations recorded by the source corpus.
Perturbative corrections to correlation functions for interacting theories in de Sitter spacetime often grow secularly with time, due to the properties of fluctuations on super-Hubble scales. This growth can lead to a breakdown of perturbation theory at late times. We argue that Dynamical Renormalization Group (DRG) techniques provide a convenient framework for interpreting and resumming these secularly growing terms. In the case of a massless scalar field in de Sitter with quartic self-interaction, the resummed result is also less singular in the infrared, in precisely the manner expected if a dynamical mass is generated. We compare this improved infrared behavior with large-N expansions when applicable.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/5df807615f260276a28f153c49e7ee602fcb94d1
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Citations in the corpus
- Late-time structure of the Bunch-Davies de Sitter wavefunction (2014, methodology): “The Green’s functions considered in the in-in formalism [33] are obtained by the continuation to dS4 of the first term in square brackets.”
- EFT beyond the horizon: stochastic inflation and how primordial quantum fluctuations go classical (2014, background): “In particular, its solutions may provide a good way to resum the secular evolution that is known to plague de Sitter (and near-de Sitter) cosmologies in particular (see also [12, 24, 20] for other approaches to resumming secular evolution in de Sitter space).”
- Semiclassical relations and IR effects in de Sitter and slow-roll space-times (2010, methodology): “While various approaches to handling this regime have been advocated, for example resummation via a dynamical renormalization group approach [48, 49] or via stochastic approaches [12, 13, 50], no method has yet been found for a precise and complete treatment of the quantum dynamics into the regime w”
- Infrared effects in inflationary correlation functions (2010, methodology): “3 we reviewed the argument of Burgess et al [76], according to which the secular logarithms could be resummed into a dynamically generated mass.”
- Prospects for cosmological collider physics (2016, background): “Fields with these masses may already be present in the spectrum of a UV-completed unification theory, such as the KK spectrum and stringy states in string theory [7]; they may arise from fields that are originally light, but their mass gets uplifted by loop corrections in the inflationary background”